Abstract

One important limitation of pressure derivatives is diagnosing flow regimes in wells with high water cut and flowing conditions (Drawdown) because the well production are never stable due to surface operating constraint including multiphase metering problem and fluid compressibility, hence most drawdown are not easily interpretable due to noisy data. In some cases where the data are useful, the derivative data are always noisy and difficult to interpret, resulting in the application of deconvolution and various smoothing techniques to obtain a perceived representative model which often time might not. This paper introduces a new statistical method for diagnosing flow regime for both flowing and shut-in conditions. The method utilize the second differencing of pressure and time parameters since pressure change and subsurface flow rate is non-stationary and then integrate the residual pressure differences using simple statistical tools such as sum of square error SSE, moving average MA and covariance of data to formulate the statistical derivative model. The model is tested with constant pressure, constant rate conditions and also in well with high water production Results from three scenarios investigated shows the statistical derivative display distinctive radial flow fingerprint as the conventional pressure derivative with clear reservoir features revealed with high degree of accuracy. It demonstrated that for high water production well, a good radial stabilization can be identified for good permeability estimation without smoothing the data. It also showed that in all three scenarios, the drawdown radial fingerprint can be replicated in the build-up pressure responses, hence a good match of the data. The approach also reduces the derivative noise in the radial flowing period for better interpretation of flow regimes.

Highlights

  • Subsurface geology and hydrology are heterogeneous, complex, and difficult to characterize (e.g. Neumann and Di Federico, 2003); the concept of porous media flow, heat conduction, neutron diffusion, or elastic waves have being used by hydrology researchers to capture the fluid flow behavior using complex mathematical equations such as diffusion and advection-dispersion developed into partial differential equation (PDE) often in pressure term

  • The analytical solution developed from simplified set of conditions solves the groundwater flow equation and the pressure derivative term of the analytical solution is used to diagnose the transient and pseudo steady state flowing conditions

  • It has shown in all three scenarios that, the drawdown fingerprint can be replicated in the build-up pressure responses, a good match of the data [30-34]

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Summary

Introduction

Subsurface geology and hydrology are heterogeneous, complex, and difficult to characterize (e.g. Neumann and Di Federico, 2003); the concept of porous media flow, heat conduction, neutron diffusion, or elastic waves have being used by hydrology researchers to capture the fluid flow behavior using complex mathematical equations such as diffusion and advection-dispersion developed into partial differential equation (PDE) often in pressure term. Equation 5 and 6 are known as model A and B These are similar to semilog pressure-time curve but are used for identifying flow regimes and calculation of wellbore and reservoir parameters to support the interpretation from the type-curve and derivatives methods. The statistical derivative has demonstrated that for high water production well, a good radial stabilization can be identified for good permeability estimation without smoothing the data It has shown in all three scenarios that, the drawdown fingerprint can be replicated in the build-up pressure responses, a good match of the data [30-34]. J Pet Environ Biotechnol 6: 244. doi:10.4172/2157-7463.1000244 Page 5 of 17

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